Question -
Answer -
The given function┬аf┬аis
It isevident that┬аf┬аis defined at all points of the real line.
Let┬аc┬аbea real number.
Case I:
Therefore,┬аf┬аiscontinuous at all points┬аx, such that┬аx┬атЙа 0
Case II:
Therefore,┬аf┬аiscontinuous at┬аx┬а= 0
Fromthe above observations, it can be concluded that┬аf┬аiscontinuous at every point of the real line.
Thus,┬аf┬аisa continuous function.